1. Schur multipliers and second quandle homology
- Author
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Takefumi Nosaka, Józef H. Przytycki, Rhea Palak Bakshi, Sujoy Mukherjee, and Dionne Ibarra
- Subjects
Pure mathematics ,Algebra and Number Theory ,010102 general mathematics ,Primary: 19C09, Secondary: 20J06, 57M27 ,Geometric Topology (math.GT) ,K-Theory and Homology (math.KT) ,Group Theory (math.GR) ,Homology (mathematics) ,Mathematics::Algebraic Topology ,Mathematics::Geometric Topology ,01 natural sciences ,Mathematics - Geometric Topology ,Mathematics - K-Theory and Homology ,0103 physical sciences ,FOS: Mathematics ,010307 mathematical physics ,0101 mathematics ,Mathematics - Group Theory ,Schur multiplier ,Mathematics - Abstract
We define a map from second quandle homology to the Schur multiplier and examine its properties. Furthermore, we express the second homology of Alexander quandles in terms of exterior algebras. Additionally, we present a self-contained proof of its structure and provide some computational examples., 16 pages
- Published
- 2020